Pith Number

pith:6GMJ2GSM

pith:2004:6GMJ2GSM5A7HBSOAC7CJ5RA2Q4

not attested not anchored not stored refs pending

Spacetime foam in twistor string theory

Giuseppe Policastro, Sean A. Hartnoll

arxiv:hep-th/0412044 v2 · 2004-12-05 · hep-th · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6GMJ2GSM5A7HBSOAC7CJ5RA2Q4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-04T15:20:31.588989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1989d1a4ce83e70c9c017c49ec41a873573af14a6bcc70950ad9e97fab94b40

Aliases

arxiv: hep-th/0412044 · arxiv_version: hep-th/0412044v2 · doi: 10.48550/arxiv.hep-th/0412044 · pith_short_12: 6GMJ2GSM5A7H · pith_short_16: 6GMJ2GSM5A7HBSOA · pith_short_8: 6GMJ2GSM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6GMJ2GSM5A7HBSOAC7CJ5RA2Q4 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f1989d1a4ce83e70c9c017c49ec41a873573af14a6bcc70950ad9e97fab94b40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f22d8099f18b1828d7f9a524091f7eb48b3dfc180a94bd732cccbc720e36a4b",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2004-12-05T20:10:17Z",
    "title_canon_sha256": "d7b7a0f52c65653ad3ec4f9235ecb99484b2cd75d061a8ae98875b1cad307fae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0412044",
    "kind": "arxiv",
    "version": 2
  }
}